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3 years ago

HELP ME PLEASE!!

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

domain: (-infin., infin.)

range: (-infin., infin.)

Step-by-step explanation:

This is an odd degree polynomial which forms a sideways S shape starting low and ending high. Since nothing restricts the function from having an output for every real number input, the domain and range are (-infin., infin.).

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Progress

irina [24]

An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.

Given the following data:

a = (q + r) centimeters.

b = (5q - 10s) centimeters.

c = (5s + 7r) centimeters.

<h3>What is a triangle?</h3>

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

<h3>How to calculate the perimeter of a triangle?</h3>

Mathematically, the perimeter of a triangle can be calculated by using this formula:

P = a + b + c

Where:

a, b, and c are length of sides.

Substituting the given parameters into the formula, we have;

P = q + r + 5q - 10s + 5s + 7r

P = 6q + 8r - 5s centimeters.

Read more on perimeter of triangle here: brainly.com/question/27109587

#SPJ1

7 0

1 year ago

A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed.

Tom [10]

16.2-15.8/0.6=0.6667. Use normalcdf() to find the percentage from -999 to 0.6777 which is 0.7476*625=467

7 0

3 years ago

If a publisher of nontechnical books takes great pains to ensure that its books are free of typos, so that the probability of an

Troyanec [42]

Answer:

(a) 0.2707

(b) 0.8576

Step-by-step explanation:

5 0

3 years ago

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

3 years ago

I need help with these 2

Slav-nsk [51]

Answer:

Step-by-step explanation: Hey for the second one I got y = -3/4x -0.5 I'm not sure if its correct though sorry if not
ill try my best to explain my solution though
1. From the parallel equation (3x + 4y = 12) all we need to do is find the slope

So the easiest way to do so is to put the said equation in y-intercept form

y=mx +b
m= slope

b= y intercept

so 1. 3x + 4y = 12

4y = 12-3x

divide that by 4 to get only y

y=3-3/4x

-3/4 is our slope

y=-3/4x+b

than we have a point -2, -2

if we put -2 for y

-2=-3/4x+b

and then we put our -2 for x
-2 = -3/4 * -2 + b

-2 = -1.5 +b
b=-0.5

Answer : y=-3/4x-0.5

4 0

2 years ago